15 research outputs found
Theta--instantons in SU(2) Higgs theory
We consider topology changing processes in SU(2)--Higgs theory. In the
Standard Model of particle physics they are accompanied by baryon--and
lepton--number non--conservation. At fixed energy and multiplicity of initial
state, these processes are described by classical Theta--instanton solutions.
We describe these solutions and calculate the suppression exponents for the
probabilities of the topology changing transitions at relatively low energies.Comment: 12 pages, 5 figure
Unstable Semiclassical Trajectories in Tunneling
Some tunneling phenomena are described, in the semiclassical approximation,
by unstable complex trajectories. We develop a systematic procedure to
stabilize the trajectories and to calculate the tunneling probability,
including both the suppression exponent and prefactor. We find that the
instability of tunneling solutions modifies the power-law dependence of the
prefactor on h as compared to the case of stable solutions.Comment: Journal version; 4 pages, 2 figure
Signatures of unstable semiclassical trajectories in tunneling
It was found recently that processes of multidimensional tunneling are
generally described at high energies by unstable semiclassical trajectories. We
study two observational signatures related to the instability of trajectories.
First, we find an additional power-law dependence of the tunneling probability
on the semiclassical parameter as compared to the standard case of potential
tunneling. The second signature is substantial widening of the probability
distribution over final-state quantum numbers. These effects are studied using
modified semiclassical technique which incorporates stabilization of the
tunneling trajectories. The technique is derived from first principles. We
obtain expressions for the inclusive and exclusive tunneling probabilities in
the case of unstable semiclassical trajectories. We also investigate the "phase
transition" between the cases of stable and unstable trajectories across
certain "critical" value of energy. Finally, we derive the relation between the
semiclassical probabilities of tunneling from the low-lying and highly excited
initial states. This puts on firm ground a conjecture made previously in the
semiclassical description of collision-induced tunneling in field theory.Comment: Journal version; 48 pages, 16 figure
Real-Time Instantons and Suppression of Collision-Induced Tunneling
We consider tunneling processes in QFT induced by collisions of elementary
particles. We propose a semiclassical method for estimating the probability of
these processes in the limit of very high collision energy. As an illustration,
we evaluate the maximum probability of induced tunneling between different
vacua in a (1+1)-dimensional scalar model with boundary interaction.Comment: 5 pages, 1 figure, JETP Letters styl
Semiclassical Study of Baryon and Lepton Number Violation in High-Energy Electroweak Collisions
We make use of a semiclassical method for calculating the suppression
exponent for topology changing transitions in high-energy electroweak
collisions. In the Standard Model these processes are accompanied by violation
of baryon and lepton number. By using a suitable computational technique we
obtain results for s-wave scattering in a large region of initial data. Our
results show that baryon and lepton number violation remains exponentially
suppressed up to very high energies of at least 30 sphaleron masses (250 TeV).
We also conclude that the known analytic approaches inferred from low energy
expansion provide reasonably good approximations up to the sphaleron energy (8
TeV) only.Comment: 23 pages, 18 figures. Phys.Rev.D journal version (two references
added
Suppression of baryon number violation in electroweak collisions: numerical results
info:eu-repo/semantics/publishe